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Finding the Third Proportional to 448,804 and 960,649

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Solution

The third proportional to 448,804 and 960,649 is: 2,056,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,804 : 960,649 = 960,649 : x
  2. Step 2: Convert to fraction form
    448,804/960,649 = 960,649/x
  3. Step 3: Cross multiply
    448,804x = 960,649 × 960,649
  4. Step 4: Simplify right side
    448,804x = 922,846,501,201
  5. Step 5: Solve for x
    x = 922,846,501,201/448,804
  6. Step 6: Final answer
    x = 2,056,235.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.